163953 has 6 divisors (see below), whose sum is σ = 236834. Its totient is φ = 109296.

The previous prime is 163927. The next prime is 163973. The reversal of 163953 is 359361.

It can be written as a sum of positive squares in only one way, i.e., 121104 + 42849 = 348^2 + 207^2 .

It is not a de Polignac number, because 163953 - 2⁸ = 163697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (163973) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9100 + ... + 9117.

2¹⁶³⁹⁵³ is an apocalyptic number.

It is an amenable number.

163953 is a deficient number, since it is larger than the sum of its proper divisors (72881).

163953 is a wasteful number, since it uses less digits than its factorization.

163953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18223 (or 18220 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 163953 is about 404.9111013544. The cubic root of 163953 is about 54.7318073038.

It can be divided in two parts, 16 and 3953, that added together give a square (3969 = 63²).

The spelling of 163953 in words is "one hundred sixty-three thousand, nine hundred fifty-three".